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Finding the Fourth Proportional to 408,864.33, 564,228.47 and 227,573.37

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Solution

The fourth proportional to 408,864.33, 564,228.47 and 227,573.37 is: 314,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,864.33 : 564,228.47 = 227,573.37 : x
  2. Step 2: Convert to fraction form
    408,864.33/564,228.47 = 227,573.37/x
  3. Step 3: Cross multiply
    408,864.33x = 564,228.47 × 227,573.37
  4. Step 4: Simplify right side
    408,864.33x = 128,403,373,229.98
  5. Step 5: Solve for x
    x = 128,403,373,229.98/408,864.33
  6. Step 6: Final answer
    x = 314,048.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.